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The paper is devoted to the study of the steady-state transmission problem between two Herschel-Bulkley fluids in thin layers with different viscosities, yield limits and power law index. [ABSTRACT FROM AUTHOR]

The paper is devoted to the study of steady-state transmission problem between two Herschel-Bulkley uids in thin layer. [ABSTRACT FROM AUTHOR]

The purpose of this paper is to introduce the concept of the so-called modified Dirac operator over the algebra of 3-split numbers, denoted by M. By the mean of this operator we provide a generalization of monogenic functions and we show some of their properties. Moreover, we establish some Fischer-type decomposition theorems for the operator M and its conjugate. [ABSTRACT FROM AUTHOR]

We consider in this work the nonlinearly damped semilinear Petrovsky equation with general nonlinear dissipation and source term ∂²u/∂t²+Δ²u-Δu′+|u|p-2u+αg(u′)=βf(u) in Ω×[0,+∞[ where Ω is open and bounded domain in Rn with a smooth boundary ∂Ω=Γ,α,β>0. For the nonlinear continuous term f(u) and for g continuous, increasing, satisfying g(0)=0, we prove the global existence of its solutions by means the Faedo-Galerkin procedure combined with the stable set method in H²0(Ω). Furthermore, we show that this solution blows up in finite time, when the energy is negative. [ABSTRACT FROM AUTHOR]

This paper proposes an operating approach based on the anisotropic diffusion method to restore and denoise Satellite Remote Sensing Images (SRSIs). The contents of the approach are the motion by mean curvature to detect the noise direction for each degraded pixel and preserve the original edges of the image, and the gradient in the Gaussian kernel which restores the degraded pixel locally, assuring the estimation of its original value and saving the contrast of the image. The algorithm, concluded by our proposed system, treats noised SRSIs regardless of noise type, so better restoration is achieved. Experiments of the proposed system and of other approaches were conducted in MATLAB in order to demonstrate the efficiency of the proposed approach and its performance was confirmed through evaluation with PSNR and SSIM. [ABSTRACT FROM AUTHOR]

The purpose of this work is to propose a contribution to the study of the multisplit functions. In details we are interested in the study of the hyperholomorphicity of multisplit functions, we propose an extension of the famous Cauchy-Riemann formulas. We show some interesting results regarding continuation of multisplit functions and that of real functions to multisplit algebra. Moreover, we introduce the concept of co-hyperholomorphicity for multisplit function. basing on the generalized Dirac operator. [ABSTRACT FROM AUTHOR]

We consider in this paper a parabolic partial differential equation involving the infinity Laplace operator and a Leray-Lions operator with no coercitive assumption. We prove the existence and uniqueness of the corresponding approached problem and we show that at the limit the solution solves the parabolic variational inequality arising in the elasto-plastic torsion problem. [ABSTRACT FROM AUTHOR]

The paper is devoted to the study of asymptotic behaviour of the solution of two dimensional steady flow of Herschel-Bulkley fluid through a thin layer. We prove some convergence results when the thicness tends to zero and we give the mechanical interpretation of the results. [ABSTRACT FROM AUTHOR]

We consider a mathematical model which describes the steadystate flow of a Herschel-Bulkley fluid whose the consistency and the yield limit depend on the temperature and with mixed boundary conditions, including a frictional boundary condition. We derive a weak formulation of the coupled system of motion and energy equations which consists of a variational inequality for the velocity field. We prove the existence of weak solutions. In the asymptotic limit case of a high thermal conductivity, the temperature becomes a constant solving an implicit total energy equation involving the consistency function and the yield limit. [ABSTRACT FROM AUTHOR]

We consider a mathematical model that describes the dynamic evolution of damage in elastic-thermo-viscoplastic materials with displacementtraction, and Neumann and Fourier boundary conditions. We derive a weak formulation of the system consisting of a motion equation, an energy equation, and an evolution damage inclusion. This system has an integro-differential variational equation for the displacement and the stress fields, and a variational inequality for the damage field. We prove existence and uniqueness of the solution, and the positivity of the temperature. [ABSTRACT FROM AUTHOR]